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@ARTICLE{Fiorillo:627001,
      author       = {Fiorillo, Damiano Francesco Giuseppe and Raffelt, Georg G.},
      title        = {{T}heory of neutrino slow flavor evolution. {P}art {I}.
                      {H}omogeneous medium},
      journal      = {Journal of high energy physics},
      volume       = {04},
      number       = {4},
      issn         = {1126-6708},
      address      = {Heidelberg},
      publisher    = {Springer},
      reportid     = {PUBDB-2025-01526, arXiv:2412.02747},
      pages        = {146},
      year         = {2025},
      note         = {JHEP 04 (2025) 146. 32 pages, 4 figures; version accepted
                      for publication in JHEP. Title changed to match the series
                      of papers with arXiv:2501.16423. Typos fixed in the text},
      abstract     = {Dense neutrino gases can exhibit collective flavor
                      instabilities, triggering large flavor conversions that are
                      driven primarily by neutrino-neutrino refraction. One
                      broadly distinguishes between fast instabilities that exist
                      in the limit of vanishing neutrino masses, and slow ones,
                      that require neutrino mass splittings. In a related series
                      of papers, we have shown that fast instabilities result from
                      the resonant growth of flavor waves, in the same way as
                      turbulent electric fields in an unstable plasma. Here we
                      extend this framework to slow instabilities, focusing on the
                      simplest case of an infinitely homogeneous medium with
                      axisymmetric neutrino distribution. The relevant length and
                      time scales are defined by three parameters: the vacuum
                      oscillation frequency ω$_{E}$ = δm$^{2}$/2E, the scale of
                      neutrino-neutrino refraction energy $ \mu
                      =\sqrt{2}{G}_{\textrm{F}}\left({n}_{\nu
                      }+{n}_{\overline{\nu}}\right) $, and the ratio between
                      lepton and particle number $ \epsilon =\left({n}_{\nu
                      }-{n}_{\overline{\nu}}\right)/\left({n}_{\nu
                      }+{n}_{\overline{\nu}}\right) $. We distinguish between two
                      very different regimes: (i) For ω$_{E}$ ≪ μϵ$^{2}$,
                      instabilities occur at small spatial scales of order
                      (μϵ)$^{−1}$ with a time scale of order $ \epsilon
                      {\omega}_E^{-1} $. This novel branch of slow instability
                      arises from resonant interactions with neutrinos moving
                      along the axis of symmetry. (ii) For μϵ$^{2}$ ≪ ω$_{E}$
                      ≪ μ, the instability is strongly non-resonant, with
                      typical time and length scales of order $
                      1/\sqrt{\omega_E\mu } $. Unstable modes interact with all
                      neutrino directions at once, recovering the characteristic
                      scaling of the traditional studies of slow instabilities. In
                      the inner regions of supernovae and neutron-star mergers,
                      the first regime may be more likely to appear, meaning that
                      slow instabilities in this region may have an entirely
                      different character than usually envisaged.},
      keywords     = {Neutrino Interactions (autogen) / Neutrino Mixing
                      (autogen)},
      cin          = {$Z_THAT$},
      ddc          = {530},
      cid          = {$I:(DE-H253)Z_THAT-20210408$},
      pnm          = {613 - Matter and Radiation from the Universe (POF4-613) /
                      DFG project G:(GEPRIS)283604770 - SFB 1258: Neutrinos und
                      Dunkle Materie in der Astro- und Teilchenphysik (NDM)
                      (283604770) / DFG project G:(GEPRIS)390783311 - EXC 2094:
                      ORIGINS: Vom Ursprung des Universums bis zu den ersten
                      Bausteinen des Lebens (390783311)},
      pid          = {G:(DE-HGF)POF4-613 / G:(GEPRIS)283604770 /
                      G:(GEPRIS)390783311},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)16},
      eprint       = {2412.02747},
      howpublished = {arXiv:2412.02747},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2412.02747;\%\%$},
      UT           = {WOS:001471832200004},
      doi          = {10.1007/JHEP04(2025)146},
      url          = {https://bib-pubdb1.desy.de/record/627001},
}